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Finding the Fourth Proportional to 17,636.12, 24,349.17 and 11,675.80

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Solution

The fourth proportional to 17,636.12, 24,349.17 and 11,675.80 is: 16,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.12 : 24,349.17 = 11,675.80 : x
  2. Step 2: Convert to fraction form
    17,636.12/24,349.17 = 11,675.80/x
  3. Step 3: Cross multiply
    17,636.12x = 24,349.17 × 11,675.80
  4. Step 4: Simplify right side
    17,636.12x = 284,296,039.09
  5. Step 5: Solve for x
    x = 284,296,039.09/17,636.12
  6. Step 6: Final answer
    x = 16,120.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.